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Axial Capacity of Wall Formula

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Axial Capacity of Wall is the capacity of the column to resist axially applied loads. Check FAQs

ϕP n = 0.55 \cdot ϕ \cdot f' c \cdot A g \cdot (1 - {(\frac{k \cdot l c}{32 \cdot h})}^{2})

ϕP_n - Axial Capacity of Wall?ϕ - Strength Reduction Factor for Bearing Walls?f'_c - Specified 28-Day Compressive Strength of Concrete?A_g - Gross Area of Column?k - Effective Length Factor?l_c - Vertical Distance between Supports?h - Overall Thickness of Wall?

Axial Capacity of Wall Example

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Here is how the Axial Capacity of Wall equation looks like with Values.

Here is how the Axial Capacity of Wall equation looks like with Units.

Here is how the Axial Capacity of Wall equation looks like.

9.5663 = 0.55 \cdot 0.7 \cdot 50 \cdot 500 \cdot (1 - {(\frac{0.5 \cdot 1000}{32 \cdot 200})}^{2})

9.5663kN = 0.55 \cdot 0.7 \cdot 50MPa \cdot 500mm² \cdot (1 - {(\frac{0.5 \cdot 1000mm}{32 \cdot 200mm})}^{2})

9.5663 = 0.55 \cdot 0.7 \cdot 50 \cdot 500 \cdot (1 - {(\frac{0.5 \cdot 1000}{32 \cdot 200})}^{2})

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Axial Capacity of Wall Solution

Follow our step by step solution on how to calculate Axial Capacity of Wall?

FIRST Step Consider the formula

ϕP n = 0.55 \cdot ϕ \cdot f' c \cdot A g \cdot (1 - {(\frac{k \cdot l c}{32 \cdot h})}^{2})

Next Step Substitute values of Variables

∴

ϕP n = 0.55 \cdot 0.7 \cdot 50MPa \cdot 500mm² \cdot (1 - {(\frac{0.5 \cdot 1000mm}{32 \cdot 200mm})}^{2})

Next Step Convert Units

∴

ϕP n = 0.55 \cdot 0.7 \cdot 5E+7Pa \cdot 0.0005m² \cdot (1 - {(\frac{0.5 \cdot 1m}{32 \cdot 0.2m})}^{2})

Next Step Prepare to Evaluate

∴

ϕP n = 0.55 \cdot 0.7 \cdot 5E+7 \cdot 0.0005 \cdot (1 - {(\frac{0.5 \cdot 1}{32 \cdot 0.2})}^{2})

Next Step Evaluate

∴

ϕP n = 9566.25366210938N

Next Step Convert to Output's Unit

∴

ϕP n = 9.56625366210938kN

LAST Step Rounding Answer

∴

ϕP n = 9.5663kN

Axial Capacity of Wall Formula Elements

Variables

Axial Capacity of Wall

Axial Capacity of Wall is the capacity of the column to resist axially applied loads.

Symbol: ϕP_n

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Strength Reduction Factor for Bearing Walls

Strength Reduction Factor for Bearing Walls is the ratio of elastic strength to yield strength.

Symbol: ϕ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Specified 28-Day Compressive Strength of Concrete

Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.

Symbol: f'_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Gross Area of Column

Gross Area of Column is the total area enclosed by the column.

Symbol: A_g

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Effective Length Factor

Effective Length Factor is the factor used for the members in the frame. It depends on the ratio of compression member stiffness to the end restraint stiffness.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Vertical Distance between Supports

Vertical Distance between Supports is the distance between two intermediate supports for a structure in the vertical direction.

Symbol: l_c

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Overall Thickness of Wall

Overall Thickness of Wall is the wall thickness in millimeters.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Formula and 500+ more formulas!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

Other formulas in Load Bearing Walls category

Go 28-Day Concrete Compressive Strength given Axial Capacity of Wall

f' c = \frac{ϕP n}{0.55 \cdot ϕ \cdot A g \cdot (1 - {(\frac{k \cdot l c}{32 \cdot h})}^{2})}

Go Wall Section Gross Area given Axial Capacity of Wall

A g = \frac{ϕP n}{0.55 \cdot ϕ \cdot f' c \cdot (1 - {(\frac{k \cdot l c}{32 \cdot h})}^{2})}

How to Evaluate Axial Capacity of Wall?

Axial Capacity of Wall evaluator uses Axial Capacity of Wall = 0.55*Strength Reduction Factor for Bearing Walls*Specified 28-Day Compressive Strength of Concrete*Gross Area of Column*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2) to evaluate the Axial Capacity of Wall, The Axial Capacity of Wall formula is defined as the capacity of the wall to resist axially applied loads. It is usually expressed in terms of kN. Axial Capacity of Wall is denoted by ϕP_n symbol.

How to evaluate Axial Capacity of Wall using this online evaluator? To use this online evaluator for Axial Capacity of Wall, enter Strength Reduction Factor for Bearing Walls (ϕ), Specified 28-Day Compressive Strength of Concrete (f'_c), Gross Area of Column (A_g), Effective Length Factor (k), Vertical Distance between Supports (l_c) & Overall Thickness of Wall (h) and hit the calculate button.

FAQs on Axial Capacity of Wall

What is the formula to find Axial Capacity of Wall?

The formula of Axial Capacity of Wall is expressed as Axial Capacity of Wall = 0.55*Strength Reduction Factor for Bearing Walls*Specified 28-Day Compressive Strength of Concrete*Gross Area of Column*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2). Here is an example- 0.009566 = 0.55*0.7*50000000*0.0005*(1-((0.5*1)/(32*0.2))^2).

How to calculate Axial Capacity of Wall?

With Strength Reduction Factor for Bearing Walls (ϕ), Specified 28-Day Compressive Strength of Concrete (f'_c), Gross Area of Column (A_g), Effective Length Factor (k), Vertical Distance between Supports (l_c) & Overall Thickness of Wall (h) we can find Axial Capacity of Wall using the formula - Axial Capacity of Wall = 0.55*Strength Reduction Factor for Bearing Walls*Specified 28-Day Compressive Strength of Concrete*Gross Area of Column*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2).

Can the Axial Capacity of Wall be negative?

No, the Axial Capacity of Wall, measured in Force cannot be negative.

Which unit is used to measure Axial Capacity of Wall?

Axial Capacity of Wall is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Axial Capacity of Wall can be measured.

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Axial Capacity of Wall Formula

Axial Capacity of Wall Example

Axial Capacity of Wall Solution

Axial Capacity of Wall Formula Elements

Credits

Other formulas in Load Bearing Walls category

How to Evaluate Axial Capacity of Wall?

FAQs on Axial Capacity of Wall

Variable Name